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242724064 = 2511262687
BaseRepresentation
bin11100111011110…
…10110011100000
3121220201122211011
432131322303200
5444114132224
640030230304
76005056222
oct1635726340
9556648734
10242724064
11115014200
1269355394
133b395a0b
1424344412
1516498394
hexe77ace0

242724064 has 36 divisors (see below), whose sum is σ = 525262752. Its totient is φ = 110327360.

The previous prime is 242724029. The next prime is 242724073. The reversal of 242724064 is 460427242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27472 + ... + 35215.

It is an arithmetic number, because the mean of its divisors is an integer number (14590632).

Almost surely, 2242724064 is an apocalyptic number.

It is an amenable number.

242724064 is an abundant number, since it is smaller than the sum of its proper divisors (282538688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242724064 is a wasteful number, since it uses less digits than its factorization.

242724064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62719 (or 62700 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 242724064 is about 15579.6041028006. The cubic root of 242724064 is about 623.7888558036.

The spelling of 242724064 in words is "two hundred forty-two million, seven hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 62687 125374 250748 501496 689557 1002992 1379114 2005984 2758228 5516456 7585127 11032912 15170254 22065824 30340508 60681016 121362032 242724064